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Let the two integers be represented by a and b.

Then, ab = -21 and thus b = -21/a

And, a + b = 4

Substituting for b gives a - 21/a = 4

Multiplying throughout by a and equating to zero gives,

a2 - 4a - 21 = 0

This expression can be factored

a2 - 4a - 21 = (a + 3)(a - 7) = 0

Then when a + 3 = 0, a = -3

and when a - 7 = 0, a = 7

The two numbers are 7 and -3

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Q: What two integers multiply to make -21 and add to make 4?
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Continue Learning about Math & Arithmetic

How do you multipy integers?

You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.Positive x positive = positiveNegative x negative = positiveWhen you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.Positive x negative = negativeNegative x positive = negative.


How do the rules for multiplying integers compare to the rules for dividing integers?

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What are two consecutive integers of 156?

Two consecutive integers which multiply together to equal 156 are 12 and 13.


How do you multiply three integers?

You multiply the first two. Then you multiply the result with the third number. Actually you can multiply in any order.


Adding more than two integers?

I'm not sure if that is a question, but if it is, yes, you can add more than two integers. Just add the first two to get a new, single integer and then add that to the next one. You can do that indefinitely if you have a large set of integers.